Kaewong, Theeradach; Niamsup, Piyapong Analytic solution of certain second-order functional differential equation. (English) Zbl 1144.34042 Int. J. Math. Math. Sci. 2006, No. 15, Article ID 53828, 16 p. (2006). The authors are concerned with existence of analytic solutions to certain class of more general iterative second-order functional differential equations. The article by J.-G. Si and X.-P.Wang [Comput. Math. Appl. 43, No. 1–2, 81–90 (2002; Zbl 1008.34059)] is the main reference in this paper. Reviewer: H. B. Bouzahir (Agadir) MSC: 34K05 General theory of functional-differential equations Keywords:Analytic solution; iterative second order functional differential equation Citations:Zbl 1008.34059 PDFBibTeX XMLCite \textit{T. Kaewong} and \textit{P. Niamsup}, Int. J. Math. Math. Sci. 2006, No. 15, Article ID 53828, 16 p. (2006; Zbl 1144.34042) Full Text: DOI References: [1] M. Kuczma, Functional Equations in a Single Variable, Monografie Matematyczne, Tom 46, Polish Scientific, Warszawa, 1968. · Zbl 0196.16403 [2] J.-G. Si and X.-P. Wang, “Analytic solutions of a second-order iterative functional differential equation,” Journal of Computational and Applied Mathematics, vol. 126, no. 1-2, pp. 277-285, 2000. · Zbl 0983.34056 · doi:10.1016/S0377-0427(99)00359-3 [3] J.-G. Si and X.-P. Wang, “Analytic solutions of a second-order iterative functional differential equation,” Computers & Mathematics with Applications, vol. 43, no. 1-2, pp. 81-90, 2002. · Zbl 1008.34059 · doi:10.1016/S0898-1221(01)00273-5 [4] J.-G. Si, X.-P. Wang, and S. S. Cheng, “Analytic solutions of a functional-differential equation with a state derivative dependent delay,” Aequationes Mathematicae, vol. 57, no. 1, pp. 75-86, 1999. · Zbl 0959.34061 · doi:10.1007/s000100050071 [5] J.-G. Si, X.-P. Wang, and W.-N. Zhang, “Analytic invariant curves for a planar map,” Applied Mathematics Letters, vol. 15, no. 5, pp. 567-573, 2002. · Zbl 1088.37507 · doi:10.1016/S0893-9659(02)80008-8 [6] J.-G. Si and W. Zhang, “Analytic solutions of a nonlinear iterative equation near neutral fixed points and poles,” Journal of Mathematical Analysis and Applications, vol. 284, no. 1, pp. 373-388, 2003. · Zbl 1030.39025 · doi:10.1016/S0022-247X(03)00363-9 [7] J.-G. Si and W. Zhang, “Analytic solutions of a class of iterative functional differential equations,” Journal of Computational and Applied Mathematics, vol. 162, no. 2, pp. 467-481, 2004. · Zbl 1044.34020 · doi:10.1016/j.cam.2003.08.049 [8] J.-G. Si and W. Zhang, “Analytic solutions of a second-order nonautonomous iterative functional differential equation,” Journal of Mathematical Analysis and Applications, vol. 306, no. 2, pp. 398-412, 2005. · Zbl 1083.34060 · doi:10.1016/j.jmaa.2005.01.005 [9] J.-G. Si, W. Zhang, and G.-H. Kim, “Analytic solutions of an iterative functional differential equation,” Applied Mathematics and Computation, vol. 150, no. 3, pp. 647-659, 2004. · Zbl 1040.34525 · doi:10.1016/S0096-3003(03)00296-0 [10] X.-P. Wang and J.-G. Si, “Analytic solutions of an iterative functional differential equation,” Journal of Mathematical Analysis and Applications, vol. 262, no. 2, pp. 490-498, 2001. · Zbl 1001.34055 · doi:10.1006/jmaa.2001.7527 [11] B. Xu, W. Zhang, and J.-G. Si, “Analytic solutions of an iterative functional differential equation which may violate the Diophantine condition,” Journal of Difference Equations and Applications, vol. 10, no. 2, pp. 201-211, 2004. · Zbl 1057.34067 · doi:10.1080/1023-6190310001596571 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.